Review Article | Open Access
Jinru Xue, Baofeng Su, "Significant Remote Sensing Vegetation Indices: A Review of Developments and Applications", Journal of Sensors, vol. 2017, Article ID 1353691, 17 pages, 2017. https://doi.org/10.1155/2017/1353691
Significant Remote Sensing Vegetation Indices: A Review of Developments and Applications
Vegetation Indices (VIs) obtained from remote sensing based canopies are quite simple and effective algorithms for quantitative and qualitative evaluations of vegetation cover, vigor, and growth dynamics, among other applications. These indices have been widely implemented within RS applications using different airborne and satellite platforms with recent advances using Unmanned Aerial Vehicles (UAV). Up to date, there is no unified mathematical expression that defines all VIs due to the complexity of different light spectra combinations, instrumentation, platforms, and resolutions used. Therefore, customized algorithms have been developed and tested against a variety of applications according to specific mathematical expressions that combine visible light radiation, mainly green spectra region, from vegetation, and nonvisible spectra to obtain proxy quantifications of the vegetation surface. In the real-world applications, optimization VIs are usually tailored to the specific application requirements coupled with appropriate validation tools and methodologies in the ground. The present study introduces the spectral characteristics of vegetation and summarizes the development of VIs and the advantages and disadvantages from different indices developed. This paper reviews more than 100 VIs, discussing their specific applicability and representativeness according to the vegetation of interest, environment, and implementation precision. Predictably, research, and development of VIs, which are based on hyperspectral and UAV platforms, would have a wide applicability in different areas.
Remote sensed information of growth, vigor, and their dynamics from terrestrial vegetation can provide extremely useful insights for applications in environmental monitoring, biodiversity conservation, agriculture, forestry, urban green infrastructures, and other related fields. Specifically, these types of information applied to agriculture provide not only an objective basis (depending on resolution) for the macro- and micromanagement of agricultural production but also in many occasions the necessary information for yield estimation of crops . These latter applications have been developed to be a well-known discipline category, precision agriculture, which could be tracked back to three decades ago . However, the applicability of remote sensing and its different VIs extracted from these techniques usually relies heavily on the instruments and platforms to determine which solution is best to get a particular issue.
1.1. Remote Sensing Platform Considerations
In terms of platforms, the advantages of satellite based remote sensing include high spatial resolution, which makes possible the extraction of long time data series of consistent and comparable data, which can be cost effective . Furthermore, some satellite platforms have free access to visible and multispectral data, such as Landsat 7-8. However, there are two main problems with these platforms for precision agriculture applications, which are related to the per pixel resolution (30 m2 per pixel for Landsat and 500 m2 for MODIS) and the orbit period (16 d for Landsat and 26 d for SPOT). More recently, pixel resolution has been increased by newer satellites, such as WorldView-2 and -3 (DigitalGlobe, Longmont, CO, USA). WorldView-2 was the first commercial high resolution satellite to provide eight spectral sensors in the visible to near infrared range. Along with the four typical multispectral bands: blue (450–510 nm), green (510–580 nm), red (630–690 nm), and near infrared (NIR) (770–895 nm), each sensor is narrowly focused on a particular range of the electromagnetic spectrum that is sensitive to a particular feature from the ground or a property of the atmosphere. However, images from this platform can be cost prohibitive for long time data series studies.
The second problem with satellite based remote sensing is the revisitation time, which is 16 days in average, which makes the agricultural applications difficult, specifically those related to water and nutrient management. Moreover, passive sensors cannot penetrate clouds; therefore, there is no usable data capture for overcast days.
To solve these two main problems, airborne and more recently UAV platforms can be used. The former can also be cost prohibitive due to the requirement of expensive aircrafts and pilots. The latter has become almost of ubiquitous use in the last five years with affordable aircrafts and camera payloads ranging from visible, near and thermal infrared, and 3D LIDAR, which has been referred to as Unmanned Aerial System (UAS). Among UAS platforms, there are mainly fixed wing and multirotor options available. There is a compromise using these UAS platforms in relation to payload weight versus flying time. In general, longer flying time achieved by fixed wing systems demands lighter weight payloads. For example, small high definition visible cameras weighting less than 300 grams as payload of a fixed wing UAS allow it to fly for around two hours using currently available battery-power . On the contrary, battery-powered multirotor UAS with higher payload capacity have reduced fly time that at the moment is around 15- to 25-minute duration. Using these UAS, higher spatial and temporal data resolution can be achieved, which makes possible precision agriculture applications to the submeter resolution per pixel. This allows research and practical applications applied to growth and vigor dynamic assessment, plant water status sensing for irrigation scheduling applications, and evapotranspiration modelling, among others [4–9].
1.2. Remote Sensing and Vegetation Indices
Remote sensing of vegetation is mainly performed by obtaining the electromagnetic wave reflectance information from canopies using passive sensors. It is well known that the reflectance of light spectra from plants changes with plant type, water content within tissues, and other intrinsic factors . The reflectance from vegetation to the electromagnetic spectrum (spectral reflectance or emission characteristics of vegetation) is determined by chemical and morphological characteristics of the surface of organs or leaves . The main applications for remote sensing of vegetation are based on the following light spectra: (i) the ultraviolet region (UV), which goes from 10 to 380 nm; (ii) the visible spectra, which are composed of the blue (450–495 nm), green (495−570 nm), and red (620–750 nm) wavelength regions; and (iii) the near and mid infrared band (850–1700 nm) [11, 12]. The emissivity rate of the surface of leaves (equivalent to the absorptivity in the thermal waveband) of a fully grown green plant without any biotic or abiotic stress is generally in the range of 0.96–0.99 and is more often between 0.97 and 0.98 . On the contrary, for dry plants, the emissivity rate generally has a larger range going from 0.88 to 0.94 . Vegetation emissivity in the near and mid infrared regions has been widely studied within plant canopies. Indices extracted from this light spectra range can be attributed to a range of characteristics beyond growth and vigor quantification of plants related to water content, pigments, sugar and carbohydrate content, protein content, and aromatics, among others [2, 14]. Different applications are dependent on the reflectivity peaks or overtones for specific compounds within the visible and near/mid infrared regions of light spectra [14, 15]. Plant reflectivity in the thermal infrared spectral range (8–14 μm) follows the blackbody radiation law , which allows interpreting plant emission as directly related to plant temperature. Hence, indices obtained from this spectra range can be used as a proxy to assess stomata dynamics that regulates transpiration rate of plants. Therefore, the later indices can be used as indicator of plant water status [17–19] and abiotic/biotic stress levels [20, 21].
The latter considerations demonstrate that the quantitative interpretation of remote sensing information from vegetation is a complex task. Many studies have limited this interpretation by extracting vegetation information using individual light spectra bands or a group of single bands for data analysis. Thus, researchers often combine the data from near infrared (0.7–1.1 m) and red (0.6–0.7 m) bands in different ways according to their specific objectives . These types of combinations present many disadvantages (e.g., lack of sensitivity) by using single or limited group of bands to detect, for example, vegetation biomass. These limitations are particularly evident when trying to apply these types of VI on heterogeneous canopies, such as horticultural tree plantations. A mixed combination of soils, weeds, cover crops in the interrow, and the plants of interest makes the discrimination regions of interest and extraction of simple VI very difficult, specifically, when the vegetation of interest has different VIs due to spatial variability, or VIs corresponding to other vegetation (weeds and cover crop), which can be similar to those of interest. The later will complicate imaging denoising and filtering processes. Several image analysis techniques and algorithms have been developed to go around these issues, which will be described later. Even though there are many considerations as described before, the construction of simple VI algorithm could many times render simple and effective tools to measure vegetation status on the surface of the Earth .
2. Vegetation Indices and Validation Process
With the use of high resolution spectral instrumentation, the number of bands obtained by remote sensing is increasing, and the bandwidth is getting narrower . One of the most used and implemented indices calculated from multispectral information as normalized ratio between the red and near infrared bands is the Normalized Difference Vegetation Index (NDVI) . A direct use of NDVI is to characterize canopy growth or vigor; hence, many studies have compared it with the Leaf Area Index (LAI) , where LAI is defined as the area of single sided leaves per area of soil .
Vegetation information from remote sensed images is mainly interpreted by differences and changes of the green leaves from plants and canopy spectral characteristics. The most common validation process is through direct or indirect correlations between VIs obtained and the vegetation characteristics of interest measured in situ, such as vegetation cover, LAI, biomass, growth, and vigor assessment. More established methods are used to assess VIs using direct and georeferenced methods by monitoring sentinel plants to be compared with VIs obtained from the same plants for calibration purposes.
The later process is known as allometric measurements and requires destructive methods to scan specific area of total leaves per plant or tree in the case of LAI . Indirect validation methods are based on proximal instrumentation using the same or similar spectral instrumentation to assess georeferenced sentinel plants at the same angle as the aerial platforms. The latter method is useful to compare VIs obtained from satellite that are sensitive to atmospheric effects and serve as a mean to obtain correction factors. More recent indirect methods based on cover photography to estimate canopy cover, LAI, porosity, and clumping index have used automated analysis methods.
For this purpose, upward looking cover photogrammetry at zero zenith angle is taken with visible cameras to obtain canopy architecture parameters calculated using computer vision algorithms. An automated image acquisition and calculation method was proposed by Fuentes et al. 2008 applied to Eucalyptus trees  and it has been successfully applied for other crops such as grapevines compared to allometric measurements and to validate NDVI calculated from satellite information (WorldView-2) , apple trees with increased accuracy by using a variable light extinction coefficient () , and cherry trees improving the method by extracting nonleaf material such as branches for tall trees [29, 30]. In late 2015, a computer application (App) for smartphones and tablet PCs called VitiCanopy was released for free use to assess canopy architecture parameters using the cover photography automated algorithms, which can be applied to any other tree crop by changing to a specific value [31, 32]. Other Apps using RGB photogrammetry to assess LAI have been later developed such as PoketLAI [33–35].
2.1. Basic Vegetation Indices
Jordan  proposed in 1969 one of the first VIs named Ratio Vegetation Index (RVI), which is based on the principle that leaves absorb relatively more red than infrared light; RVI can be expressed mathematically as where NIR is the near infrared band reflectance and is red band reflectance. According to the spectral characteristics of vegetation, bushy plants have low reflectance on the red band and have shown a high correlation with LAI, Leaf Dry Biomass Matter (LDBM), and chlorophyll content of leaves . The RVI is widely used for green biomass estimations and monitoring, specifically, at high density vegetation coverage, since this index is very sensitive to vegetation and has a good correlation with plant biomass. However, when the vegetation cover is sparse (less than 50% cover), RVI is sensitive to atmospheric effects, and their representation of biomass is weak.
The Difference Vegetation Index (DVI) was proposed later  and can be expressed asThe DVI is very sensitive to changes in soil background; it can be applied to monitoring the vegetation ecological environment. Thus, DVI is also called Environmental Vegetation Index (EVI).
The Perpendicular Vegetation Index (PVI)  is a simulation of the Green Vegetation Index (GVI) in , NIR 2D data. In the coordinate system, the spectral response from soil is presented as a slash (soil brighten line). The latter effect can be explained as the soil presents a high spectral response in the NIR and bands. The distance between the point of reflectivity (, NIR) and the soil line has been defined as the Perpendicular VI, which can be expressed as follows:where is the soil reflectance; is the vegetation reflectivity; PVI characterizes the vegetation biomass in the soil background; the greater the distance, the greater the biomass.
PVI can also be quantitatively expressed aswhere and are the radiation reflected luminance values from the NIR and , respectively; is the intercept of the soil baseline and the vertical axis of NIR reflectivity; and θ is the angle between the horizontal axis of reflectivity and soil baseline. PVI filters out in this way the effects of soil background in an efficient manner; PVI also has less sensitivity to atmospheric effects and it is mainly used for the inversion of surface vegetation parameter (grass yield, chlorophyll content), the calculation of LAI, and vegetation identification and classification [39, 40]. However, PVI is sensitive to soil brightness and reflectivity, especially in the case of low vegetation coverage and needs to be adjusted for this effect .
As mentioned before, the Normalized Difference Vegetation Index (NDVI) is the most widely used as VI; it was proposed by Rouse Jr. et al. , which can be expressed asSince the index is calculated through a normalization procedure, the range of NDVI values is between 0 and 1, having a sensitive response to green vegetation even for low vegetation covered areas. This index is often used in research related to regional and global vegetation assessments and was shown to be related not only to canopy structure and LAI but also to canopy photosynthesis [43, 44]. However, NDVI is sensitive to the effects of soil brightness, soil color, atmosphere, cloud and cloud shadow, and leaf canopy shadow and requires remote sensing calibration.
2.2. Vegetation Indices considering Atmospheric Effects
Given the limitations of NDVI under atmospheric effects, Kaufman and Tanré  proposed the Atmospherically Resistant Vegetation Index (ARVI). This index is based on the knowledge that the atmosphere affects significantly compared to the NIR. Thus, Kaufman and Tanré modified the radiation value of by the difference between the blue () and . Therefore, ARVI can effectively reduce the dependence of this VI to atmospheric effects, which can be expressed aswhere is the difference between and , is the reflectivity related to the molecular scattering and gaseous absorption for ozone corrections, and represents the air conditioning parameters.
The ARVI is commonly used to eliminate the effects of atmospheric aerosols. The aerosols and ozone effects in the atmosphere still need to be eliminated by the 5S atmospheric transport model . However, to implement the 5S atmospheric transmission model, actual atmospheric parameters must be considered, which are difficult to obtain. If the ARVI index is not calculated using the 5S model, this index is not expected to perform much better than NDVI considering atmospheric effects or large dust particles in the atmosphere. Thus, Zhang et al.  proposed a new atmospheric effect resistant vegetation index, namely, IAVI, that can eliminate atmospheric interference without the use of the 5S model.where the range of γ values is between 0.65 and 1.12; a significant value of γ is close to 1 for ARVI. After testing, the error caused in IAVI by the atmosphere effect is between 0.4% and 3.7%, which is less than those found when using NDVI in the same conditions (14–31%).
2.3. Adjusted-Soil Vegetation Index
The distinction of vegetation from the soil background was originally proposed by Richardson and Wiegand  by analyzing the soil line, which can be considered as a linear relationship on the 2D plane of the soil spectral reflectance values between the NIR and . Therefore, it can be considered as a comprehensive description of a large number of soil spectral information from a number of environments . Many VIs that take into account the effect of soil background have been based on this principle. In addition to PVI ((3)-(4)), the Soil Line Atmospheric Resistance Index (SLRA) was developed based on the improvement of the soil line principle. The SLRA was then combined with the Transformed Soil-Adjusted Vegetation Index (TSAVI) to develop the Type Soil Atmospheric Impedance Vegetation Index (TSARVI) , which will be discussed later.
As shown before, NDVI (5) is very sensitive to background factors, such as the brightness and shade of the vegetation canopies and soil background brightness. Researches have shown that when the background brightness is increased, NDVI also increases systematically. Given the effect of soil background, radiation increases significantly when the vegetation cover is sparse; conversely NIR radiation is reduced to make the relationship between vegetation and soil more sensible. Many VIs have been developed to adjust to the soil effect.
Since NDVI and PVI have some deficiencies in describing the spectral behavior of vegetation and soil background, Huete  established the Soil-Adjusted Vegetation Index (SAVI), which can be expressed as follows:
The above model of a soil vegetation system was established to improve the sensitivity of NDVI to soil backgrounds, where is the soil conditioning index, which improves the sensitivity of NDVI to soil background. The range of is from 0 to 1. In practical applications, the values of are determined according to the specific environmental conditions. When the degree of vegetation coverage is high, is close to 1, showing that the soil background has no effect on the extraction of vegetation information. This kind of ideal conditions is rarely found in natural environments and can be applicable only in the case of a large canopy density and coverage . The value of is around 0.5 under most common environmental conditions. When is close to 0, the value of SAVI is equal to NDVI. However, factor should vary inversely with the amount of vegetation present to obtain the optimal adjustment for the soil effect. Thus, a modified SAVI (MSAVI) replaces factor in the SAVI equation (8) with a variable function. In this way, MSAVI  reduces the influence of bare soil on SAVI, which can be expressed as follows:
The SAVI is much less sensitive than the RVI (1) to changes in the background caused by soil color or surface soil moisture content. Three new versions of SAVI (SAVI2, SAVI3, and SAVI4) were developed based on the theoretical considerations of the effects of wet and dry soils . SAVI2, SAVI3, and SAVI4 reduce the effect of background soil brightness, by taking into account the effect of the variation of the solar incidence angle and changes in the soil physical structure.
Based on the implementation of the MSAVI, Richardson and Wiegand (1977) proposed a Modified Secondary Soil-Adjusted Vegetation Index (MSAVI2) , which can be expressed asMSAVI2 does not rely on the soil line principle and has a simpler algorithm; it is mainly used in the analysis of plant growth, desertification research, grassland yield estimation, LAI assessment, analysis of soil organic matter, drought monitoring, and the analysis of soil erosion .
Baret et al. studied the sensitivity of five VIs (NDVI, SAVI, Transformed Soil-Adjusted Vegetation Index (TSAVI), Modified Soil-Adjusted Vegetation Index (MSAVI), and Global Environment Monitoring Index (GEMI)) to the soil background. They simulated the performance of the VIs for different soil textures, moisture levels, and roughness by using the Scattering from Arbitrarily Inclined Leaves (SAIL) model. They determined an optimum value of SAIL = 0.16 to reduce the effects of soil background and then proposed an Optimized Soil-Adjusted Vegetation Index (OSAVI)  that can be expressed as follows:where SAIL is 0.16 and OSAVI does not depend on the soil line and can eliminate the influence of the soil background effectively. However, the applications of OSAVI are not extensive; it is mainly used for the calculation of aboveground biomass, leaf nitrogen content, and chlorophyll content, among others .
2.4. Tasseled Cap Transformation of Greenness Vegetation Index (GVI, YVI, and SBI)
Kauth and Thomas studied the spectral pattern of the vegetation growth process and called it the “spike cap” pattern, including the soil background reflectivity and brightness line. The Tasseled Cap Transformation is a conversion of the original bands of an image into a new set of bands with defined interpretations that are useful for vegetation mapping. A Tasseled Cap Transformation is performed by taking “linear combinations” of the original image bands, which is similar in concept to the multivariate data analysis technique called principal components analysis (PCA) .
The Tasseled Cap can convert Landsat MSS, Landsat TM, and Landsat 7 ETM data. For Landsat MSS data, furthermore, the Tasseled Cap performs orthogonal transformation on the original data, which converts it into a 4D space. This conversion includes the Soil Brightness Index (SBI) (14), degree of Green Vegetation Index (GVI) (12), and the degree of Yellow Vegetation Index (YVI) (13). It also includes Nonsuch Index (NSI) mainly for noise reduction. The NSI is closely related to atmospheric effects. For the Landsat 5 TM data, the Tasseled Cap results consist of three factors: brightness, greenness, and a third component related to soil. Among them, the brightness and the greenness are equivalent to SBI and GVI in the MSS Tasseled Cap. The third component is related to soil characteristics and humidity. For Landsat 7 ETM data, the Tasseled Cap Transformation generates six bands, namely, brightness, greenness, humidity, the fourth component (noise), a fifth component, and a sixth component.The GVI, YVI, and SBI ignore the interaction and effects of the atmosphere, soil, and vegetation. SBI and GVI can be used to evaluate the behavior of vegetation and bare soil . The GVI has a strong correlation with different vegetation covers. Thus, GVI increases the processing of atmospheric effects. Jackson et al. (1980) proposed the Adjust Soil Brightness Index (ASBI) and Adjust Green Degree Vegetation Index (AGVI) , which can be expressed as follows:
Misra and Wheeler (1977) performed PCA of Landsat images and computed the multiple factors of these indexes. This analysis was the basis of the development of the Misra Soil Brightness Index (MSBI), Misra Green Degree Vegetation Index (MGVI), and Misra Yellow Degree Vegetation Index (MYVI) , which can be expressed as follows:
Since NDVI has been found to be affected only by soil brightness, it presents a negative correlation between NDVI and soil brightness. A positive correlation is found when only atmospheric effects affect NDVI. Under natural conditions, the soil and atmosphere influence NDVI in a complex manner, which interacts with the vegetation cover influence. Therefore, atmosphere and vegetation have a collective effect on NDVI based on the soil characteristics and exposure. Liu and Huete comprehensively analyzed multiple soil types and atmospheric enhanced VIs. They developed the Atmosphere Antivegetation Index (ARVI) and Soil-Adjusted Vegetation Index (SAVI) for a comprehensive analysis of vegetation in these conditions. They found that, as a result of the interaction between the soil and the atmosphere, reducing one of them may increase the other. They introduced a feedback mechanism by building a parameter to simultaneously correct soil and atmospheric effects. This parameter is the Enhanced Vegetation Index (EVI)  that can be expressed as follows:which includes the values of NIR, R, and B, which are corrected by the atmosphere; L represents soil adjustment parameters, and its value is equal to 1; and parameters correspond to constant values equivalent to 6 and 7.5, respectively.
2.5. Vegetation Indices Based on UAS Remote Sensing in the Visible Spectra Region
UAS remote sensing is a low altitude remote sensing technology (50–100 m), which is less affected by atmospheric factors during the data acquisition process. It has the advantages of affordability, simple operation, fast imaging speed, and high spatial and temporal resolutions, which is unparalleled compared with traditional  remote sensing technologies based on satellites. At present, the UAS remote sensing technology plays a crucial role in the field of aerial remote sensing with increased interest in applying these platforms on different studies of vegetation assessment . The practical applications of UAS are mainly related to images acquisition in the visible bands (RGB) due to easy access of ubiquitous high resolution cameras at low price and weight. However, due to rapid advances in technology, multispectral and infrared thermal cameras are becoming increasingly cheaper and miniaturized.
As previously shown through different VIs, most of them are based on the mixture of visible light bands and NIR to generate algorithms and those based only on the visible light spectra are not common. However, weightless high definition cameras are appearing in the market that includes the NIR band, which will enhance the practical applicability of UAS in the near future. These types of reflectance are commonly measured using visible, multispectral, and hyperspectral cameras . According to Gago et al. (2015), NDVI is one of the most employed indices for UAS applications and is defined specifically aswhere is the reflectance at 800 nm and at 680 nm. Due to the high NIR reflectance of chlorophyll, this index is used to detect plants greenness . Some studies described the use of UAS with multispectral cameras and high resolution multispectral satellites to estimate LAI (Leaf Area Index) through NDVI [27, 61].
The optimized index transformed chlorophyll absorption in reflectance Transformed Chlorophyll Absorption in Reflectance Index/Optimized Soil-Adjusted Vegetation Index (TCARI/OSAVI) was proposed as more sensitive VI to chlorophyll content. In this way, avoiding other factors that could affect the reflectance values such as canopy reflectance and soil reflectance among others . Another index evaluated by Zarco-Tejada et al. (2013) was the PRInorm, which is an improvement of the Photochemical Reflectance Index (PRI). This index considers xanthophyll changes related to water stress but also generates a normalization considering chlorophyll content and canopy leaf area reduction which is mainly affected by water stress . However, by obtaining a quick and effective method to extract vegetation information based on UAS visible images, it will enhance and popularize the scope of application of UAS immediately . In this sense, Wang et al. (2015) comprehensively considered the spectral characteristics of healthy green vegetation and the spectral characteristics of typical features of UAS imagery . They use green () band instead of the NIR band to calculate NDVI, compared to for NDVI, and the band multiplied by 2 for . Thus, a Visible-Band Difference Vegetation Index (VDVI) is created based on the three bands of visible light, which can be expressed as follows:The values of VDVI are within and the accuracy of the vegetation extraction based on VDVI is higher than other visible light band-based VIs and band. Furthermore, the accuracy of VDVI has been reported to be over 90% .
2.6. Vegetation Indices Related to Vegetation Status
The NDVI, as shown previously, enhances the contrast of the reflectivity of the NIR and channels (5). Therefore, it is a nonlinear extension of NIR and ratios, resulting in the enhancement of the lower part of these values (higher values are suppressed). Hence, NDVI reaches saturation in this way more easily. Thus, Gitelson  proposed the Wide Dynamic Range Vegetation Index (WDRVI), which can be expressed as follows:WDRVI enhances the dynamic range of NDVI by applying a weighting parameter to the NIR reflectance. If equals 1, WDRVI is equivalent to NDVI. If is equal to the ratio , WDRVI is zero. After validation procedures, a coefficient value of 0.20 for appears to be generally effective for the WDRVI calculations. According to Gitelson (2004) , WDRVI offers a simple way to enhance the dynamic range for high biomass environments (LAI > 2). However, when biomass is low (LAI < 1), NDVI is still the best choice for the plant classification.
According to the spectral reflectance of plant leaves (between 550 nm and 700 nm) it can be considered constant even if the chlorophyll content of leaves is variable. Based on this relationship, Kim et al. (1994) measured the level of absorption at 670 nm and linked the reflection peak at 700 nm and 550 nm; the Chlorophyll Absorption Ratio Index (CARI) was then developed  and can be expressed as
Later, Daughtry et al. improved the CARI by proposing a modified CARI (MCARI) , which can be expressed asThe MCARI is more sensitive to leaf chlorophyll concentrations. Daughtry et al. (2000) found that LAI, chlorophyll, and the chlorophyll-LAI interaction accounted for 60, 27, and 13% of the MCARI variation. Even though the MCARI formula is not related to the NIR bands, good predictions were still found.
In agriculture, crop growth is directly linked to water supply and plant water status. When the soil water supply is insufficient, plants will be under water stress, which leads to reduced crop yield and even crop failures under extreme drought conditions. So it is very important to evaluate the crop water status in a timely and accurate manner, which has direct implications on crop growth, yield, and quality of produce . In recent years, the development of infrared thermal remote sensing technology made it possible to measure canopy temperature changes and dynamics from crop populations. These changes are related to the transpiration rate of plants and stomatal conductance. Hence, crop leaf and canopy temperature have been used for the determination of crop water status . In order to make the canopy temperature measurements consistent, Idso et al. (1981) established the Crop Water Stress Index (CWSI) to monitor crop water status .where is the temperature of fully sunlit canopy leaves (°C), is the temperature of fully sunlit canopy leaves (°C) when the crop is non-water-stressed (well-watered); is the temperature of fully sunlit canopy leaves (°C) when the crop is severely water stressed due to low soil water availability. and are the lower and upper baselines used to normalize CWSI for the effects of environmental conditions (air temperature, relative humidity, solar radiation, and wind speed) on . The CWSI has two models, an empirical model and a theoretical model; however, the theoretical model involves too many parameters, and these parameters are not easy to obtain. Therefore, the theoretical model is only used for research purposes [70–72]. The empirical model can be obtained only by using crop canopy temperature, air temperature, and air saturation difference, so the empirical model has been further studied and used in many crop applications .
Besides the use of infrared thermal radiation to detect plant water stress detection, the visible part of the spectrum has also been useful for early water stress detection. This involves using indices focused on bands at specific wavelengths where photosynthetic pigments are affected by water stress conditions such as chlorophyll. The Photochemical Reflectance Index (PRI) has been used as a stress index of stress based on this principle, with initial developments to be applied to disease symptoms detection, which can be expressed as
It has been shown that the Light Use Efficiency (LUE) is a key variable to estimate Net Primary Productivity (NPP) [74, 75]. When obtaining reliable accuracy in LUE measurements, it is possible to study the distribution of energy and global climate change. The PRI is a normalized difference VI of reflectivity at 531 nm and 570 nm and the reflectance of these two bands is affected by the xanthophyll cycle and is closely related to LUE of leaves. Therefore, PRI provides a good estimation of leaf LUE.
2.7. Summary of Vegetation Indices
A summary of the main VIs discussed in this paper can be found in Table 1 with their respective citations.